How to solve a noise added differential equation?

I want to study the stoichastic resonance in the duffing oscillator. The duffing oscillator equation with noise is term is given as,

,

where is the white gaussian noise and f is the forcing amplitude. My question is how to solve it and how to find corresponding signal to noise ratio(SNR)?

Answer 1

[Benjamin Thompson]

I would model the differential equation in Simulink. Integrator blocks will you enter initial values for x(0) and xdot(0). Solve your equation for the second derivative of x, calculate that in Simulink using blocks, and then integrate that twice to get x(t). You must feed x, xdot, and xdotdot back to complete the equation in blocks in Simulink. Go to your textbook for their definition of SNR, really not sure what they would want.

For additional help, give your problem a try then ask specific questions about problems using Mathworks software.

[Ms. Sita]

Thank you for the response. But i am not aiming to solve the problem through simulink.